A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Answers

Answer 1

Answer:

19,133.067

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067


Related Questions

Plz help me with this

Answers

Answer:

0

Step-by-step explanation:

Inverse it To verify:

0/1=0+9=9

can you plz give me more of an anser

Answers

Answer:

peepeepoopoo check

Step-by-step explanation:

0.9, 0.09, 0.1, 0.07
In order from smallest to largest

Answers

Answer:

0.07,0.09,0.1,0.9

Step-by-step explanation:

In general terms, Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A. Ascending order means the smallest or first or earliest in the order will appear at the top of the list: For numbers or amounts, the sort is smallest to largest.

AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?

Answers

Answer:

It would be CB, BA, AC

Step-by-step explanation:

Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

Il Pause

Не

You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly

expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.

Write a system of linear inequalities to model this situation.

OF B + G > 90

6B + 10G< 15

G> 6

O G 6B + 10G > 90

B + G > 15

G<6

OH 6B + 10G > 90

B + G < 15

G 26

Type here to search

o

ENG 9:20 AM

921

Answers

Answer:

[tex]B + G \leq 15[/tex]

[tex]6B + 10G \geq 90[/tex]

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G  = At most 15

At most 15 means less than or equal to 15.

So, we have:

[tex]B + G \leq 15[/tex]

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

[tex]6B + 10G \geq 90[/tex]

What is 3.761 in expanded form

Answers

Answer:

3 + 0.7 + 0.06 + 0.001

Answer:3+ 0.7+ 0.06+ 0.001= 3.761

Step-by-step explanation:

R is between Q and S
Find QR

Answers

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

what is the value of 6797999012

Answers

Answer:

6797999012

Step-by-step explanation:

I am not sure what the answer should be. Any help?

Answers

Answer: Choice D) Not enough information

===================================================

Explanation:

We are given that AB is parallel to DC.

This allows us to say that angle BAC = angle DCA because they are alternate interior angles.

We have one pair of congruent angles, but we don't have a second pair of congruent angles. So we cannot use ASA.

We can't use SAS either since we only have information about one pair of congruent sides (AC = AC). We don't know anything about the other sides.

AA is not a congruence theorem. Instead it's a similarity theorem. So we can rule this out as well.

The only thing left is choice D. We don't have enough information. We need to know if AD is parallel to BC, so we can show that angle BCA = angle DAC, which is the other angle pair to use ASA. Or if we knew that AB = CD, then we could use SAS to prove the triangles congruent. Unfortunately we don't have this information.

Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!

Answers

Answer:

A

C

i don't get the first slide

Step-by-step explanation:

Answer:

 A

 C

What is the 1st one?? i don't get it.

Step-by-step explanation:

A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there in at least 3 tails?a. 904 b. 120 c. 176 d. 24 e. 32

Answers

Answer:

P(X ≥ 3) = 0.94538

Step-by-step explanation:

When flipping a coin, probability of getting a tail is p= 0.5.

Number of times flipped; n = 10

Now, this is a binomial probability distribution problem with the formula;

P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)

Probability of getting at least 3 tails is;

P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)

P(3) = 0.1172

P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)

P(4) = 0.2051

From online binomial probability calculator, we have the remaining as;

P(5) = 0.2461

P(6) = 0.2051

P(7) = 0.1172

P(8) = 0.0439

P(9) = 0.0098

P(10) = 0.00098

Thus;

P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098

P(X ≥ 3) = 0.94538

On 1st September 2014 there were 5400 trees planted in a wood.
On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value

c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.

b) Show that r = 0.96​

Answers

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

Find the value of y-8 when y = 15.

Answers

Answer: y=3

Step-by-step explanation:

the initial statement is

y

1

x

to convert to an equation multiply by k the constant

of variation

y

=

k

×

1

x

=

k

x

to find k use the given condition

y

=

15

when

x

=

5

y=kx⇒k=y x=15×5=75

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣22y=75x22∣∣

when x=25 then

y=75 25=3

Step-by-step explanation:

I hope understand this

Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?

Answers

Answer:

He lost 29 points

Step-by-step explanation:

He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29

Answer:

He would end up with 71 points

Step-by-step explanation:

You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to  subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points

Helpppppp please due today ​

Answers

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

Explain how to calculate equivalent fractions.

Answers

Answer:

Hey there! Thanks for asking your question.

We can multiply the numerators and denominators by any number.

Either way, you will have the same equivalent fraction.

Let's do a practice problem:

[tex]\frac{1}{2} = ?[/tex]

We can multiply the numerator & denominator by 2.

We get the number [tex]\frac{2}{4}[/tex].

So, [tex]\frac{1}{2} = \frac{2}{4}[/tex].

Best of Luck!

You pay $7.80 for 6 pounds of apples. Find the price per pound.


Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$1.30

▹ Step-by-Step Explanation

To find the price per pound, you have to divide the total amount of money by the amount of pounds:

$7.80/6 lbs = $1.30

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

-0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

m∠O = 97.2°

plz help it's due in 10 min

Which is the most accurate statement about the sign of the product of a positive integer and a negative integer? 1.It is positive.
2.It is negative.
3.It depends on the sign of the first of the two numbers.
4.It cannot be predicted without knowing the integers.​

Answers

Answer:

3

Step-by-step explanation:

helppppp please I will give brainliest​

Answers

The B is 2. B is the Y Intercept.

pls help and explain if u can

Answers

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

Just select yes and no for all three pls help

Answers

.....*+*Kill me*+*.....

*+*.......................*+*

*+*.......................*+*

Answer:

1. Yes 2. No 3. No

Step-by-step explanation:

What is an algebraic expression to represent the perimeter of a rectangle with a width of x+5 and a length of 3x+10?

Answers

We know that the area of a rectangle is equal to the width multiplied by the length. So in this case the algebraic expression is (x+5)*(3x+10). You get 3x^2 +10x +15x +50= 3x^2 +25x +50.

Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.

Answers

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

[tex]E(X)=\frac{r}{p}[/tex]

r is number of times it is repeated

p is probability it happens

Solving:

[tex]E(X)=\frac{5}{1/6}[/tex]

E(X) = 30

Variance is given by:

[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]

[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]

[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

Kareem made a shirt using 1/2 yards of blue fabric and 1/8 yards of red fabric. How many more yards of blue fabric did Kareem use

Answers

We subtract 1/8 from 1/2 because the question asks how many more yards.many more means you subtract. 1/2-1/8=3/8 :)

(3x−2.4)/0.02 = (8−x)/0.1 Please Help

Answers

Answer

x = 5/4

Step-by-step explanation:

Jake solved an equation, as shown
1. 1/3x + 7 = 15
2. 1/3x + 7 - 7 = 15
3. 1/3x = 15
4. 3 • 1/3x = 3 • 15
5. x = 45
Which statement is true?
Jake made a mistake in step two
Jake made a mistake in step four
Jake made a mistake in step five
Jake solved the equation correctly​

Answers

Answer:

mistake in step 2 forgot to subtract from end

Step-by-step explanation:

An equation is formed when two equal expressions. The value of x is 24 and Jake made a mistake in step 2. The correct option is A.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation 1/3x + 7 = 15 can be solved as shown below.

Step 1.) 1/3x + 7 = 15

Step 2.) Subtract 7 from both the sides of the equation,

1/3x + 7 - 7 = 15 - 7

Step 3.) 1/3x = 8

Step 4.) Multiply both the sides of the equation by 3,

3 • 1/3x = 3 • 8

Step 5.) x = 24

Hence, the value of x is 24. And Jake made a mistake in step 2.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

(I'm not going to get an answer in time, but this is for people in the future who are going to need it)

Which reigon represents the solution to the given system of inequalities​

Answers

Answer:

I think the answer is B.

Helpppp


A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.

Answers

Answer:

C

Step-by-step explanation:

A P E X

If you wanted a smaller interval, you could (c)  Increase the sample size to 100

How to determine the true statement?

The confidence interval is given as:

CI = 95%

The sample standard deviation is given as:

σ = 9

The sample size is given as:

n = 36

In a test of hypothesis, the higher the sample size, the smaller the confidence interval.

This means that an increase in the sample size from 36 would decrease the confidence interval

Hence, if you wanted a smaller interval, you could (c)  Increase the sample size to 100

Read more about confidence intervals at:

https://brainly.com/question/15712887

#SPJ2

Solve seven and five ninths minus three and nine elevenths.

( Im giving extra POINTS and BRAINLIEST on this one!! 0v0 )

A) three and seventy three ninety ninths

B) three and fifty five ninety ninths

C) four and fifty five twentieths

D) four and seventy three twentieths


(Here is an image if needed) :

Answers

It is 3 73/99

I just used a fraction calculator lol

Answer:

It is 3 73/99

Other Questions
How did world war ll affect African Americans did the Virginia Plan provide equal representation for each state? Melissa earnsas much in a day of babysitting as Bret does, and Breanna earns $20 more than Bret. If their total babysittingearnings for one day is $245, how much does Melissa earn per day? Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place. In circle K with \text{m} \angle JKL= 138^{\circ}mJKL=138 , find the angle measure of minor arc \stackrel{\Large \frown}{JL}. JL . how to get free followers on ig Who has good grades in school like A's B's dm me why is specialization a good idea in trade ? What is the trademark of a linear equation? WILL GIVE BRAINLIEST. Will report if answer is absurd Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each graph to the equation of its line. Simple math a-lot of points must do at least 3 questions not the ones the person before you did The map shows the geographic region of ancient Egypt.A map of ancient Egypt. A key shows Farmland in green. The Nile River is labeled and is surrounded by green on either side. Eastern Desert is to the east of the Nile River. Western Desert is to the west of the Nile River. An arrow points to the body of water north of the Nile River.Which body of water is the arrow pointing to on the map?Red SeaArabian SeaIndian OceanMediterranean Sea100 pts because im nice Explain the origin of plate material Which of the following topics is too broad for a five paragraph essay?siberian huskies vs. German shepherdsdogs vs. catssiamese vs. Persian catsthe first four weeks of a puppy's life vs. the first four weeks of a kitten's life emotional symptoms that may occur in those with a schizophrenic Disorder generally include all of the following except ______ emotion.A. Flat B. Appropriate C. No D. Inappropriate In a paragraph, evaluate how well the rest of the Constitution reects the social contract. Be sure your answer clearly explains the social contract and describes it within the Constitution's articles. Endings of verbs are called ___ .assistivesauxiliariesperfectionsInflections Which of these is an example of physical damage resulting from the CivilWar?A. Rising problems between racesB. Widespread diseaseO C. Broken railroads, factories, and bridgesO D. The death of family members I need help quick please Solve the equation 186+10x=25.5x to find how many diving lessons __ lesson(s)